\begin{tikzpicture}
    \tkzDefPoints{0/0/A, 3/0/B}
    \tkzInterCC[R](A,2.7)(B,2.4)  \tkzGetFirstPoint{C}
    \tkzDefPointOnLine[pos=1/3](A,B)  \tkzGetPoint{E}
    \tkzDefPointOnLine[pos=2/3](A,B)  \tkzGetPoint{F}
    \tkzDefPointOnLine[pos=1/3](B,C)  \tkzGetPoint{M}
    \tkzDefPointOnLine[pos=2/3](B,C)  \tkzGetPoint{N}
    \tkzDefPointOnLine[pos=1/3](C,A)  \tkzGetPoint{D}
    \tkzDefPointOnLine[pos=2/3](C,A)  \tkzGetPoint{G}
    \tkzInterLL(E,N)(D,F)  \tkzGetPoint{O}

    \tkzDrawPolygon(A,B,C)
    % \tkzDrawPolygon(G,E,N,D,F,M)
    \tkzDrawPolygon[pattern={mylines[angle=140, distance={3pt}]}](G,E,O)
    \tkzDrawPolygon[pattern={mylines[angle=140, distance={3pt}]}](F,M,O)
    \tkzDrawPolygon[pattern={mylines[angle=140, distance={3pt}]}](N,D,O)
    \tkzLabelPoints[left](A,G,D)
    \tkzLabelPoints[right](B,M,N)
    \tkzLabelPoints[below](E,F)
    \tkzLabelPoints[above](C)
\end{tikzpicture}

